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Finding the Fourth Proportional to 137,284.87, 205,933.07 and 48,539.11

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Solution

The fourth proportional to 137,284.87, 205,933.07 and 48,539.11 is: 72,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,284.87 : 205,933.07 = 48,539.11 : x
  2. Step 2: Convert to fraction form
    137,284.87/205,933.07 = 48,539.11/x
  3. Step 3: Cross multiply
    137,284.87x = 205,933.07 × 48,539.11
  4. Step 4: Simplify right side
    137,284.87x = 9,995,807,694.67
  5. Step 5: Solve for x
    x = 9,995,807,694.67/137,284.87
  6. Step 6: Final answer
    x = 72,810.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.